In theory - but as QF rolls out their new configuration Business Class I believe there will physically be less seats in the J cabin. Also, QF FF's get access to award inventory much earlier than AAdvantage members so that's another thing working against you.

The good thing is that if you can't get on a direct QF flight you have a few other options, like using LA via SCL. Another option you could look at is going back to the U.S. via HKG on CX. So long as you are not stopping over the distance calculated will still be AKL-AUS.

The oneworld awards can be really great if you are prepared to a) spend a few more miles and b) don't mind trying out convoluted routings.